Condensed Matter > Disordered Systems and Neural Networks

Abstract: For the Many-Body-Localized phase of random Majorana models, a general Strong
Disorder Real-Space Renormalization procedure known as RSRG-X [D. Pekker, G.
Refael, E. Altman, E. Demler and V. Oganesyan, Phys. Rev. X 4, 011052 (2014)]
is described to produce the whole set of excited states, via the iterative
construction of the Local Integrals of Motion (LIOMs). The RG rules are then
explicitly derived for arbitrary quadratic Hamiltonians (free-fermions models)
and for the Kitaev chain with local interactions involving even numbers of
consecutive Majorana fermions. The emphasis is put on the advantages of the
Majorana language over the usual quantum spin language to formulate unified
RSRG-X rules.